List of practice Questions

Given below are two statements one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Polar areas have high atmospheric pressure.
Reason (R): These areas receive minimum sunshine throughout the year.
In the light of the above statements, choose the most appropriate answer from the options given below:
Following question is based on the information given below:
(i) 'R×S' means 'R is father of S'
(ii) 'R-S' means 'R is sister of S'
(iii) 'R+S' means 'R is mother of S'
(iv) 'R÷S' means 'R is brother of S'
In the expression A+B×C÷D how is C related to A ?
Given below are two statements:
Statement (I): Right to information has been granted to every citizen of India under Right to information Act, 2005 which came into force on 12th October, 2005.
Statement (II): Right to information is a fundamental Right.
In the light of the above statements, choose the most appropriate answer from the options given below:
A radioactive material is reduced to \( \frac{1}{8} \) of its original amount in 3 days. If \( 8 \times 10^{-3} \) kg of the material is left after 5 days, what was the initial amount of the material?
If work done on a body is positive, then what will be the sign of kinetic energy?
If the sum of an infinite GP \( a, ar, ar^2, ar^3, \dots \) is 15 and the sum of the squares of each term is 150, then the sum of the series \( ar^2, a r^4, ar^6, \dots \) is:
Bag P contains 6 red and 4 blue balls, and bag Q contains 5 red and 6 blue balls. A ball is transferred from bag P to bag Q and then a ball is drawn from bag Q. What is the probability that the ball drawn is blue?
How many cubes are there in a group?
How many cubes are there in a group?

How much ethyl alcohol must be added to 1 litre of water so that the solution will freeze at \(-14^\circ \text{C}\)? 

(Kf for water = 1.86 °C/mol)

If \( y = \sqrt{\frac{1 + \cos 2\theta}{1 - \cos 2\theta}} \), then \( \frac{dy}{d\theta} \) at \( \theta = \frac{3\pi}{4} \) is:
In a reflecting telescope, a secondary mirror is used to:
Electric field in a certain region is given by \( \vec{E} = \left( \frac{A}{x^2} \hat{i} + \frac{B}{y^3} \hat{j} \right) \). The SI unit of A and B are:
If \( f(x) = \frac{x}{\sqrt{1 + x^2}} \), then \( (f \circ f)(x) \) is:
A set A has 3 elements and another set B has 6 elements. Then:
From the options given below, select the one closest in meaning to 'Agile' :

A disc is rolling without slipping on a surface. The radius of the disc is \( R \). At \( t = 0 \), the topmost point on the disc is \( A \) as shown in the figure. When the disc completes half of its rotation, the displacement of point \( A \) from its initial position is: 

From the given options, select the word that is opposite in meaning to ‘Excruciating’ :
A 100m long wire having cross-sectional area \( 6.25 \times 10^{-4} \, {m}^2 \) and Young's modulus is \( 10^{10} \, {Nm}^{-2} \) is subjected to a load of 250N, then the elongation in the wire will be:
A bicycle tire is filled with air at a pressure of \( 270 \) kPa at \( 27^\circ C \). What is the approximate pressure of the air in the tire when the temperature increases to \( 36^\circ C \)?
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
From the given options, select the word that is opposite in meaning to ‘dexterous’ ?
Choose the correct mirror image:
Choose the correct mirror image:
Choose the incorrect homonym pair:
Choose the word that denotes one that is in a war - like mood :

A thermodynamic system is taken through a cyclic process as shown in the PV diagram. The total work done in the process is: